Greatest Common Factor of 27000 and 27004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 27000, 27004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 27000 and 27004 is 4.

GCF(27000,27004) = 4

GCF of 27000 and 27004

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 27000 and 27004

GCF of 27000 and 27004 is 4

Prime Factorization of 27000


2 27000
2 13500
2 6750
3 3375
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 27000 are 2,3,5. Prime factorization of 27000 in exponential form is:

27000 = 23×33×53

Prime Factorization of 27004


2 27004
2 13502
43 6751
157 157
1

Prime factors of 27004 are 2,43,157. Prime factorization of 27004 in exponential form is:

27004 = 22×431×1571

∴ So by taking common prime factors GCF of 27000 and 27004 is 4

Greatest Common Factor of 27000 and 27004 by matching factors method

Factors of 27000

List of positive integer factors of 27000 that divides 27000 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,125,135,150,180,200,216,225,250,270,300,360,375,450,500,540,600,675,750,900,1000,1080,1125,1350,1500,1800,2250,2700,3000,3375,4500,5400,6750,9000,13500,27000

Factors of 27004

List of positive integer factors of 27004 that divides 27004 without a remainder.

1,2,4,43,86,157,172,314,628,6751,13502,27004

Greatest Common Factor

We found the factors and prime factorization of 27000 and 27004. The biggest common factor number is the GCF number.
So the greatest common factor 27000 and 27004 is 4.

Also check out the Least Common Multiple of 27000 and 27004

Properties of GCF 27000 and 27004

(i) The GCF of 27000 and 27004 is associative

GCF of 27000 and 27004 = GCF of 27004 and 27000

Related Greatest Common Factor of 27000

Related Greatest Common Factor of 27004

Frequently Asked Questions on GCF of 27000 and 27004

1. What is the GCF of 27000 and 27004?

Answer: GCF of 27000 and 27004 is 4.

2. What are the Factors of 27000?

Answer: Factors of 27000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 125, 135, 150, 180, 200, 216, 225, 250, 270, 300, 360, 375, 450, 500, 540, 600, 675, 750, 900, 1000, 1080, 1125, 1350, 1500, 1800, 2250, 2700, 3000, 3375, 4500, 5400, 6750, 9000, 13500, 27000. There are 64 integers that are factors of 27000. The greatest factor of 27000 is 27000.

3. What are the Factors of 27004?

Answer: Factors of 27004 are 1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502, 27004. There are 12 integers that are factors of 27004. The greatest factor of 27004 is 27004.

4. How to Find the GCF of 27000 and 27004?

Answer:

Greatest Common Factor of 27000 and 27004 = 4

Step 1: Find the prime factorization of 27000

27000 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 27004

27004 = 2 x 2 x 43 x 157

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 27000 and 27004 is 4